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Finding the Fourth Proportional to 4,131, 6,194.88 and 1,532.16

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Solution

The fourth proportional to 4,131, 6,194.88 and 1,532.16 is: 2,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131 : 6,194.88 = 1,532.16 : x
  2. Step 2: Convert to fraction form
    4,131/6,194.88 = 1,532.16/x
  3. Step 3: Cross multiply
    4,131x = 6,194.88 × 1,532.16
  4. Step 4: Simplify right side
    4,131x = 9,491,547.34
  5. Step 5: Solve for x
    x = 9,491,547.34/4,131
  6. Step 6: Final answer
    x = 2,297.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.